101023936 has 112 divisors (see below), whose sum is σ = 230428800. Its totient is φ = 43610112.

The previous prime is 101023927. The next prime is 101023939. The reversal of 101023936 is 639320101.

It is a self number, because there is not a number n which added to its sum of digits gives 101023936.

It is not an unprimeable number, because it can be changed into a prime (101023939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1278745 + ... + 1278823.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 2^101023936 is an apocalyptic number.

101023936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101023936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115214400).

101023936 is an abundant number, since it is smaller than the sum of its proper divisors (129404864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101023936 is a wasteful number, since it uses less digits than its factorization.

101023936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 101023936 is about 10051.0664110830. The cubic root of 101023936 is about 465.7377367127.

The spelling of 101023936 in words is "one hundred one million, twenty-three thousand, nine hundred thirty-six".